%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN286-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:50:06 PM UTC 2026
% Result : Unsatisfiable 3.61s 1.29s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f130,axiom,
! [X2,X3,X0,X1] :
( q1(X0,X1,X0)
| ~ n0(X2,X1)
| ~ p0(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_092) ).
fof(f369,negated_conjecture,
! [X0] : ~ q1(a,e,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1749,plain,
! [X0,X1] :
( ~ n0(X0,e)
| ~ p0(X1,a) ),
inference(resolution,[],[f130,f369]) ).
fof(f1759,definition,
( spl0_297
<=> ! [X1] : ~ p0(X1,a) ),
introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).
fof(f1760,plain,
( ! [X1] : ~ p0(X1,a)
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1762,definition,
( spl0_298
<=> ! [X0] : ~ n0(X0,e) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
fof(f1763,plain,
( ! [X0] : ~ n0(X0,e)
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1764,plain,
( spl0_297
| spl0_298 ),
inference(avatar_split_clause,[],[f1749,f1762,f1759]) ).
fof(f1765,plain,
( $false
| ~ spl0_297 ),
inference(resolution,[],[f1760,f14]) ).
fof(f1766,plain,
~ spl0_297,
inference(avatar_contradiction_clause,[],[f1765]) ).
fof(f1767,plain,
( $false
| ~ spl0_298 ),
inference(resolution,[],[f1763,f3]) ).
fof(f1770,plain,
~ spl0_298,
inference(avatar_contradiction_clause,[],[f1767]) ).
cnf(s225,plain,
( spl0_297
| spl0_298 ),
inference(sat_conversion,[],[f1764]) ).
cnf(s226,plain,
~ spl0_297,
inference(sat_conversion,[],[f1766]) ).
cnf(s228,plain,
~ spl0_298,
inference(sat_conversion,[],[f1770]) ).
cnf(s229,plain,
$false,
inference(rat,[],[s225,s228,s226]) ).
fof(f1771,plain,
$false,
inference(avatar_sat_refutation,[],[s229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN286-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n020.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 15:41:34 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.61/1.29 % (258851)Input is clausal, will run a generic CNF schedule.
% 3.61/1.29 % (258993)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=691576492:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.61/1.29 % (258994)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2433499048:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.61/1.29 % (258998)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2705416033:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.61/1.29 % (258999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3236403253:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.61/1.29 % (258996)lrs+10_1_sil=8000:sp=occurrence:random_seed=1635429530:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.61/1.29 % (258996)Refutation not found, incomplete strategy
% 3.61/1.29 % (258996)------------------------------
% 3.61/1.29 % (258996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.29 % (258996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.29 % (258996)CaDiCaL version: 2.1.3
% 3.61/1.29 % (258996)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.29 % (258996)Time elapsed: 0.003 s
% 3.61/1.29 % (258996)Peak memory usage: 88 MB
% 3.61/1.29 % (258996)Instructions burned: 2 (million)
% 3.61/1.29 % (258999)First to succeed.
% 3.61/1.29 % (258999)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-258851"
% 3.61/1.29 % (258995)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2117058792:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.61/1.29 % (258998)Also succeeded, but the first one will report.
% 3.61/1.29 % (259002)dis-21_1_sil=8000:lcm=predicate:random_seed=954497623:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.61/1.29 % (259002)Instruction limit reached!
% 3.61/1.29 % (259002)------------------------------
% 3.61/1.29 % (259002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.29 % (259002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.29 % (259002)CaDiCaL version: 2.1.3
% 3.61/1.29 % (259002)Termination reason: Instruction limit
% 3.61/1.29 % (259002)Termination phase: Saturation
% 3.61/1.29 % (259002)Time elapsed: 0.056 s
% 3.61/1.29 % (259002)Peak memory usage: 89 MB
% 3.61/1.29 % (259002)Instructions burned: 119 (million)
% 3.61/1.29 % (258996)------------------------------
% 3.61/1.29 % (258996)------------------------------
% 3.61/1.29 % (259049)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1292636574:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.61/1.29 % (259049)Refutation not found, incomplete strategy
% 3.61/1.29 % (259049)------------------------------
% 3.61/1.29 % (259049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.29 % (259049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.29 % (259049)CaDiCaL version: 2.1.3
% 3.61/1.29 % (259049)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.29 % (259049)Time elapsed: 0.002 s
% 3.61/1.29 % (259049)Peak memory usage: 88 MB
% 3.61/1.29 % (259049)Instructions burned: 1 (million)
% 3.61/1.29 % (258999)Refutation found. Thanks to Tanya!
% 3.61/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.61/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.29 % (258999)------------------------------
% 3.61/1.29 % (258999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.29 % (258999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.29 % (258999)CaDiCaL version: 2.1.3
% 3.61/1.29 % (258999)Termination reason: Refutation
% 3.61/1.29 % (258999)Time elapsed: 0.014 s
% 3.61/1.29 % (258999)Peak memory usage: 90 MB
% 3.61/1.29 % (258999)Instructions burned: 21 (million)
% 3.61/1.29 % (258999)------------------------------
% 3.61/1.29 % (258999)------------------------------
% 3.61/1.29 % (258851)Success in time 0.438 s
% 3.61/1.29 % Vampire exiting
%------------------------------------------------------------------------------